Incidence matrix according to Dynkin symbol

xux ooo5xo(-x)&#xt - both heights = sqrt[(5-2 sqrt(5))/20] = 0.162460
(pip || u-edge || gyro pip)

o.. o..5o.  .      | 10 *  * | 1  2  1  0 0  0 | 2 1 1  2  0 0 0 | 1 2 1 0 0  pip's vertices
.o. .o. .o  .      |  * 2  * | 0  0  5  5 0  0 | 0 0 5  5  5 0 0 | 0 5 1 1 0  u-line's vertices
..o ..o5..  o      |  * * 10 | 0  0  0  1 1  2 | 0 0 1  0  2 2 1 | 0 2 0 1 1  other pip's vertices
-------------------+---------+-----------------+-----------------+----------
x.. ... ..  .      |  2 0  0 | 5  *  *  * *  * | 2 0 1  0  0 0 0 | 1 2 0 0 0
... ... x.  .      |  2 0  0 | * 10  *  * *  * | 1 1 0  1  0 0 0 | 1 1 1 0 0
oo. oo.5oo  . &#x  |  1 1  0 | *  * 10  * *  * | 0 0 1  2  0 0 0 | 0 2 1 0 0
.oo .oo5.o  o &#x  |  0 1  1 | *  *  * 10 *  * | 0 0 1  0  2 0 0 | 0 2 0 1 0
..x ... ..  .      |  0 0  2 | *  *  *  * 5  * | 0 0 1  0  0 2 0 | 0 2 0 0 1
... ... ..(-x)     |  0 0  2 | *  *  *  * * 10 | 0 0 0  0  1 1 1 | 0 1 0 1 1
-------------------+---------+-----------------+-----------------+----------
x.. ... x.  .      |  4 0  0 | 2  2  0  0 0  0 | 5 * *  *  * * * | 1 1 0 0 0
... o..5x.  .      |  5 0  0 | 0  5  0  0 0  0 | * 2 *  *  * * * | 1 0 1 0 0
xux ... ..  . &#xt |  2 2  2 | 1  0  2  2 1  0 | * * 5  *  * * * | 0 2 0 0 0
... ... xo  . &#x  |  2 1  0 | 0  1  2  0 0  0 | * * * 10  * * * | 0 1 1 0 0
... ... .o(-x)&#x  |  0 1  2 | 0  0  0  2 0  1 | * * *  * 10 * * | 0 1 0 1 0
..x ... ..(-x)     |  0 0  4 | 0  0  0  0 2  2 | * * *  *  * 5 * | 0 1 0 0 1
... ..o5..(-x)     |  0 0  5 | 0  0  0  0 0  5 | * * *  *  * * 2 | 0 0 0 1 1
-------------------+---------+-----------------+-----------------+----------
x.. o..5x.  .      | 10 0  0 | 5 10  0  0 0  0 | 5 2 0  0  0 0 0 | 1 * * * *  pip
xux ... xo(-x)&#xt |  4 2  4 | 2  2  4  4 2  2 | 1 0 2  2  2 1 0 | * 5 * * *  ebot
... oo.5xo  . &#x  |  5 1  0 | 0  5  5  0 0  0 | 0 1 0  5  0 0 0 | * * 2 * *  peppy
... .oo5.o(-x)&#x  |  0 1  5 | 0  0  0  5 0  5 | 0 0 0  0  5 0 1 | * * * 2 *  peppy
..x ..o5..(-x)     |  0 0 10 | 0  0  0  0 5 10 | 0 0 0  0  0 5 2 | * * * * 1  pip

or
o.. o..5o.  .      & | 20 * |  1  2  1 |  2 1 1  2 | 1 2 1
.o. .o. .o  .        |  * 2 |  0  0 10 |  0 0 5 10 | 0 5 2
---------------------+------+----------+-----------+------
x.. ... ..  .      & |  2 0 | 10  *  * |  2 0 1  0 | 1 2 0
... ... x.  .      & |  2 0 |  * 20  * |  1 1 0  1 | 1 1 1
oo. oo.5oo  . &#x  & |  1 1 |  *  * 20 |  0 0 1  2 | 0 2 1
---------------------+------+----------+-----------+------
x.. ... x.  .      & |  4 0 |  2  2  0 | 10 * *  * | 1 1 0
... o..5x.  .      & |  5 0 |  0  5  0 |  * 4 *  * | 1 0 1
xux ... ..  . &#xt   |  4 2 |  2  0  4 |  * * 5  * | 0 2 0
... ... xo  . &#x  & |  2 1 |  0  1  2 |  * * * 20 | 0 1 1
---------------------+------+----------+-----------+------
x.. o..5x.  .      & | 10 0 |  5 10  0 |  5 2 0  0 | 2 * *  pip
xux ... xo(-x)&#xt   |  8 2 |  4  4  8 |  2 0 2  4 | * 5 *  ebot
... oo.5xo  . &#x  & |  5 1 |  0  5  5 |  0 1 0  5 | * * 4  peppy